The simple renormalization framework previously discussed by one of us is extended to treat the Higgs potential of the standard model. As an application, we obtain in a straightforward manner the one-loop correction δ(M) in the natural relation h(M) = √ 1 2 GμmH2[1 + δ(M)], where mH is the physical mass of the Higgs boson, Gμ the accurately known μ decay coupling constant and h(M) the MS quartic Higgs coupling at mass scale M. The correction δ(M) contains contributions proportional to ξ ≡ mH2/mZ2 and ξ-1 and become large for ξ≫1 or ξ≪1. The dependence of h(M) on M and mH is analyzed by combining our one-loop results (which provide initial conditions) and approximate analytic solutions of relevant renormalization group equations. A parameter Mc, which roughly describes the mass scale at which perturbation theory breaks down and the possible onset of new physics, is discussed as a function of mH. © 1986.
Dependence of the Higgs coupling hMS(M) on mH and the possible onset of new physics / Sirlin A.; Zucchini R.. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - STAMPA. - 266:2(1986), pp. 389-409. [10.1016/0550-3213(86)90096-9]
Dependence of the Higgs coupling hMS(M) on mH and the possible onset of new physics
Zucchini R.Secondo
Membro del Collaboration Group
1986
Abstract
The simple renormalization framework previously discussed by one of us is extended to treat the Higgs potential of the standard model. As an application, we obtain in a straightforward manner the one-loop correction δ(M) in the natural relation h(M) = √ 1 2 GμmH2[1 + δ(M)], where mH is the physical mass of the Higgs boson, Gμ the accurately known μ decay coupling constant and h(M) the MS quartic Higgs coupling at mass scale M. The correction δ(M) contains contributions proportional to ξ ≡ mH2/mZ2 and ξ-1 and become large for ξ≫1 or ξ≪1. The dependence of h(M) on M and mH is analyzed by combining our one-loop results (which provide initial conditions) and approximate analytic solutions of relevant renormalization group equations. A parameter Mc, which roughly describes the mass scale at which perturbation theory breaks down and the possible onset of new physics, is discussed as a function of mH. © 1986.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
